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Finding the Fourth Proportional to 345.82, 476.87 and 221.49

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Solution

The fourth proportional to 345.82, 476.87 and 221.49 is: 305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.82 : 476.87 = 221.49 : x
  2. Step 2: Convert to fraction form
    345.82/476.87 = 221.49/x
  3. Step 3: Cross multiply
    345.82x = 476.87 × 221.49
  4. Step 4: Simplify right side
    345.82x = 105,620.47
  5. Step 5: Solve for x
    x = 105,620.47/345.82
  6. Step 6: Final answer
    x = 305.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.